86138598 has 64 divisors (see below), whose sum is σ = 214824960. Its totient is φ = 22419072.

The previous prime is 86138593. The next prime is 86138641. The reversal of 86138598 is 89583168.

It is a super-3 number, since 3×86138598³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86138593) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42136 + ... + 44132.

It is an arithmetic number, because the mean of its divisors is an integer number (3356640).

Almost surely, 2^86138598 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86138598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107412480).

86138598 is an abundant number, since it is smaller than the sum of its proper divisors (128686362).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86138598 is a wasteful number, since it uses less digits than its factorization.

86138598 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101.

The product of its digits is 414720, while the sum is 48.

The square root of 86138598 is about 9281.0881905087. The cubic root of 86138598 is about 441.6374900073.

It can be divided in two parts, 86138 and 598, that added together give a triangular number (86736 = T₄₁₆).

The spelling of 86138598 in words is "eighty-six million, one hundred thirty-eight thousand, five hundred ninety-eight".